Dynamischer Default-Fachbereich geändert auf MV

Notes on the module handbook of the department Mechanical and Process Engineering

Die hier dargestellten veröffentlichten Studiengang-, Modul- und Kursdaten des Fachbereichs Maschinenbau und Verfahrenstechnik ersetzen die Modulbeschreibungen im KIS und wuden mit Ausnahme folgender Studiengänge am 28.10.2020 verabschiedet.

Ausnahmen:

BSc. Bio- und Chemieingenieurwissenschaften (Stand WS 20/21): https://www.mv.uni-kl.de/fileadmin/mv/Studium_Lehre/Modulhandbuecher/MH_BSc_BCI.pdf
BEd. Lehramt Metalltechnik (Stand WS 19/20): https://www.mv.uni-kl.de/fileadmin/mv/Studium_Lehre/Modulhandbuecher/MHB_Bachelor_Lehramt_Metalltechnik.pdf
MSc. Bio- und Chemieingenieurwissenschaften (Stand WS 20/21): https://www.mv.uni-kl.de/fileadmin/mv/Studium_Lehre/Modulhandbuecher/MH_Msc_BCI.pdf
MEd. Lehramt Metalltechnik Werkstoffe und Fertigung (Stand WS 19/20): https://www.mv.uni-kl.de/fileadmin/mv/Studium_Lehre/Modulhandbuecher/MHB_Master_Lehramt_Metalltechnik_-_Werkstoffe_und_Fertigung.pdf
MEd. Lehramt Metalltechnik Maschinen- und Fahrzeugtechnik (Stand WS 19/20): https://www.mv.uni-kl.de/fileadmin/mv/Studium_Lehre/Modulhandbuecher/MHB_Master_Lehramt_Metalltechnik_-_Fahrzeugtechnik.pdf
MEd. Lehramt Metalltechnik Verfahrenstechnik (Stand WS 19/20): https://www.mv.uni-kl.de/fileadmin/mv/Studium_Lehre/Modulhandbuecher/MHB_Master_Lehramt_Metalltechnik_-_Verfahrenstechnik.pdf

Course MV-TM-86026-K-4

Contact Mechanics (2V, 3.0 LP)

Course Type

SWS	Type	Course Form	CP (Effort)	Presence-Time / Self-Study
2	V	Lecture	3.0 CP	28 h	62 h
(2V)			3.0 CP	28 h	62 h

Basedata

SWS	2V
CP, Effort	3.0 CP = 90 h
Position of the semester	1 Sem. in WiSe
Level	[4] Bachelor (Specialization)
Language	[DE] German
Lecturers	Andrä, Heiko, Dr. habil. (EXT \| DEPT: MV)
Area of study	[MV-LTM] Applied Mechanics
Additional informations
Livecycle-State	[NORM] Active

Kinematic and static contact conditions
Hertz-Signorini-Moreau condition, Karush-Kuhn-Tucker condition
Hertzian contact theory
Friction laws
Signorini problem for infinitesimal deformations
Variational inequalities for contact problems
Existence and uniqueness of solutions
Finite element discretization
Solution of discrete variational inequalities (penalty method, method of Lagrangian multipliers, relaxation method with projection)
Dynamic contact problems with friction

Competencies / intended learning achievements

Students will be able to

describe kinematic and static contact conditions for mechanical contact problems
derive variational inequalities from principle of minimum potential energy for contact problems
select finite element spaces for discretization
describe and select (analytical and especially numerical) solution methods for contact problems
implement numerical contact algorithms in Julia, Python or Matlab/Octave for 1D, 2D and 3D contact problems
evaluate solutions of contact problems

Literature

N. Kikuchi u. J.T. Oden: Contact Problems in Elasticity, SIAM Philadelphia 1988
P. Wriggers: Computational Contact Mechanics, J. Wiley, New York 2002
K. Willner: Kontinuums- u. Kontaktmechanik, Springer, Berlin 2003
T.A. Laursen: Computational Contact and Impact Mechanics, Springer, Berlin, 2003

Materials

Blackboard, projector, PDF presentations, auxiliary sheets

Requirements for attendance (informal)

Basic lectures in applied mechanics

Modules:

Requirements for attendance (formal)

None

References to Course [MV-TM-86026-K-4]

Module	Name	Context
[MV-TM-257-M-4]	Contact Mechanics	P: Obligatory	2V, 3.0 LP
[PHY-SP-4-M-7]	Schwerpunktmodul Technische Mechanik	WP: Obligation to choose	2V, 3.0 LP

Module Handbook